Question

Simflify (3+√3) (5-√2)

Answer 1

=>(21+3√2+5√3 / 23)

Step-by-step explanation:

=>(3+√3)/(5-√2)

NOW, RATIONALISE IT

=>(3+√3)/(5-√2)*(5+√2)/(5+√2)

=>(15+3√2+5√3+6)/(5^2-√2^2)

=>(21+3√2+5√3 / 23)

Answer 2

We Have,

• To simplify (3+√3) (5-√2) so as to get product of these.

♯Here,

$\blue{ \bf \huge(3 + \sqrt{3}) (5 - \sqrt{2} ) }$

• Multiplying with each terms,

$\to \: \sf \green{3(5 - \sqrt{2} ) + \sqrt{3} (5 - \sqrt{2} )} \\ \to \: \sf \red{15 - 3 \sqrt{2} + 5 \sqrt{3} - \sqrt{6}}$

Hence,

• The Required product is $\tt \red{15 - 3 \sqrt{2} + 5 \sqrt{3} - \sqrt{6}}$